算子函数

In §1. 2, we gave the definition of the Riemann-Liouville operators of the fractional calculus and the basic properties of these operators. In§1. 3, we introduced the definition of the generalized Mittag- Leffler function E〓 and proved the inverse Laplace transform formula below,〓(1) which was used frequently in this paper.

在§1.2节中，主要介绍了Riemann-Liouville型分数阶微积分算子的基本定义以及主要性质，在§1.3节中则给出了广义Mittag-Leffler函数〓的定义及其基本性质，同时证明了如下Laplace逆变换公式：〓在本文中，公式（1）将被多次引用。

Laplacian operator used for the edge detection function documents, we can try to use use are based on Matlab platform.

用Laplacian算子进行边缘检测的函数文件，大家可以尝试的用用，都是基于matlab平台的。

Laplacian operator used for the edge detection fuunction documents, we can try to use use are based on Matlab platform.

用Laplacian算子进行边缘检测的函数文件，大家可以尝试的用用，都是基于matlab平台的。

To solve a heavily constrained optimization problem includes linear constraint conditions and non-linear constraint conditions, in this paper, a new comprehensive solution mechanism, based on specialized genetic operators, exact penalty function and initialization with multiple linear feasible solutions, is proposed.

针对一类同时具有线性约束条件和非线性约束条件的重约束优化问题，本文成功地综合采用了专门化遗传算子、精确惩罚函数及多个线性可行解初始化的求解方法，取得了很好的效果。

In the following part,we define a couple of new approximate operators and a couple of corresponding new approximate measure operators,in this way,inner measure belief function and lower probability all can be considered as the particular cases of this lower approximate measure .

通过定义一对新的逼近算子以及相应的一对逼近测度，使内测度、信任函数、随机集上的下概率均可表示为此下逼近测度结构下的一种特例。

In the experiment the pre-processings, such as image filtering and Harris operator corner detector, etc. were used to get feature points quickly and realize the mapping transformation of camera parameters. The error estimate function was established to compare the proposed method with Tsai calibration algorithm.

实验过程中，利用图像降噪、改进的Harris算子角点提取等预处理过程快速提取特征点，实现摄像机参数标定的映射变换；建立了误差评价函数评价本文方法与Tsai标定算法。

In the experiment the preprocessings, such as image filtering and Harris operator corner detector, etc., were used to get feature points quickly and realize the mapping transformation of camera parameters. The error estimate function was established to compare the proposed method with Tsai calibration algorithm.

实验过程中，利用图像降噪、改进的Harris算子角点提取等预处理过程快速提取特征点，实现摄像机参数标定的映射变换；建立了误差评价函数评价本文方法与Tsai标定算法。

This mixed strategy has been tested on benchmark functions. The simulation results show that the mixed mutation strategy is superior to any pure mutation strategy.

使用国际通用标准函数来测试这种新算法，仿真的结果表明了基于物种保护的混合变异算子进化策略优于任何一种纯策略的进化策略。

The second chapter mainly concentrates on obtaining some operator monotone function.

第三章研究在推广了的算子序关系下的α-幂平均函数。

By the means of projection operator method, we study the effects of the cross-correlation time 'tau' and the cross-correlation intensity 'lambda' between noises on the normalized intensity correlation function C.

利用投影算子方法，我们研究两噪声之间的交叉关联时间'tau'和交叉关联强度'lambda'对强度关联函数C的影响。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。